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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 340 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the supplement of 92° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  3. 3.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.What is the supplement of 112° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Are 59° and 31° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 22° (in degrees)?
  13. 13.What is the complement of 74° (in degrees)?
  14. 14.What is the supplement of 10° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 152° (in degrees)?
  19. 19.What is the complement of 67° (in degrees)?
  20. 20.What is the supplement of 164° (in degrees)?
  21. 21.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 31° (in degrees)?
  24. 24.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 49° and 131° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 102° (in degrees)?
  28. 28.What is the supplement of 42° (in degrees)?
  29. 29.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 25° and 21° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 50° (in degrees)?
  35. 35.What is the complement of 78° (in degrees)?
  36. 36.What is the supplement of 133° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 107° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 88
  2. 72
  3. Complementary
  4. 68
  5. 42
  6. 30
  7. Complementary
  8. 159
  9. 143
  10. 135
  11. 114
  12. 158
  13. 16
  14. 170
  15. 116
  16. 85
  17. 73
  18. 28
  19. 23
  20. 16
  21. 105
  22. 135
  23. 59
  24. 157
  25. Supplementary
  26. 59
  27. 78
  28. 138
  29. 50
  30. Neither
  31. 122
  32. 65
  33. 31
  34. 40
  35. 12
  36. 47
  37. 101
  38. 73
  39. 38
  40. Complementary

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